Mathematical Approaches to Vaguely Defined Objects

Part of the Theory and Decision Library book series (TDLB, volume 33)


In this chapter, we like to present a few most important approaches to the problem of mathematical representation of VD-objects, excluding subdefinite sets. The following concepts will be recalled: fuzzy sets, fuzzy sets of type 2 and ultrafuzzy sets, semisets, intuitionistic fuzzy sets, fuzzy sets with triangular norms and implication operators induced by them, and lattice-valued fuzzy sets. However, special attention will be paid to the primary idea of fuzzy sets.


Membership Function Mathematical Approach Neutral Element Membership Grade Heyting Algebra 
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© Kluwer Academic Publishers 1996

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